On barycentric interpolation. I. On the \(T\)-Lebesgue function and \(T\)-Lebesgue constant

DOI10.1007/s10474-015-0534-5zbMath1363.41007OpenAlexW1101080878MaRDI QIDQ343279

Péter Vértesi

Publication date: 25 November 2016

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-015-0534-5

zbMATH Keywords

Lebesgue constantLebesgue functionbarycentric Lagrange interpolationclassical Lagrange interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Numerical computation of matrix norms, conditioning, scaling (65F35) Interpolation in approximation theory (41A05) Best constants in approximation theory (41A44)

Related Items (2)

The Conditioning of a Linear Barycentric Rational Interpolant ⋮ On barycentric interpolation. II. Grünwald-Marcinkiewicz type theorems

Cites Work

• Rational functions for guaranteed and experimentally well-conditioned global interpolation
• Recent advances in linear barycentric rational interpolation
• Problems and results on the theory of interpolation. I
• New estimation for the Lebesgue function of Lagrange interpolation
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